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Natali [406]
3 years ago
6

6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

x < -8

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define inequality</u>

12 < -3(x + 4)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute -3:                              12 < -3x - 12
  2. Add 12 to both sides:                24 < -3x
  3. Divide -3 on both sides:            -8 > x
  4. Rewrite:                                      x < -8

Here we see that any value <em>x</em> that is smaller than -8 would work.

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Add 1 to both sides:

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